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Finding the Third Proportional to 259,788 and 406,083

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Solution

The third proportional to 259,788 and 406,083 is: 634,761.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,788 : 406,083 = 406,083 : x
  2. Step 2: Convert to fraction form
    259,788/406,083 = 406,083/x
  3. Step 3: Cross multiply
    259,788x = 406,083 × 406,083
  4. Step 4: Simplify right side
    259,788x = 164,903,402,889
  5. Step 5: Solve for x
    x = 164,903,402,889/259,788
  6. Step 6: Final answer
    x = 634,761.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.